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Lie Theory and Its Applications in Physics

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Cover of 'Lie Theory and Its Applications in Physics'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Revisiting Trace Anomalies in Chiral Theories
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    Chapter 2 Complete T-Dualization of a String in a Weakly Curved Background
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    Chapter 3 Modular Double of the Quantum Group S L q ( 2 , ℝ ) $$SL_{q}(2, \mathbb{R})$$
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    Chapter 4 Physical ageing and new representations of some Lie algebras of local scale-invariance
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    Chapter 5 New Type of 𝒩 = 4 $$\mathcal{N} = 4$$ Supersymmetric Mechanics
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    Chapter 6 Vector-Valued Covariant Differential Operators for the Möbius Transformation
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    Chapter 7 Semi-classical Scalar Products in the Generalised SU (2) Model
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    Chapter 8 Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions
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    Chapter 9 Bethe Vectors of gl(3)-Invariant Integrable Models, Their Scalar Products and Form Factors
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    Chapter 10 Polylogarithms and Multizeta Values in Massless Feynman Amplitudes
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    Chapter 11 Reduction of Couplings in Quantum Field Theories with Applications in Finite Theories and the MSSM
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    Chapter 12 A SUSY Double-Well Matrix Model as 2D Type IIA Superstring
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    Chapter 13 f ( R )-Gravity: “Einstein Frame” Lagrangian Formulation, Non-standard Black Holes and QCD-Like Confinement/Deconfinement
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    Chapter 14 The D-Brane Charges of C 3 / ℤ 2 $$\mathbb{Z}_{2}$$
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    Chapter 15 On Robertson Walker Solutions in Noncommutative Gauge Gravity
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    Chapter 16 Some Power-Law Cosmological Solutions in Nonlocal Modified Gravity
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    Chapter 17 On Nonlocal Modified Gravity and Cosmology
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    Chapter 18 Vertex Operator Approach to Semi-infiniteSpin Chain: Recent Progress
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    Chapter 19 Thermopower in the Coulomb Blockade Regime for Laughlin Quantum Dots
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    Chapter 20 On a Pair of Difference Equations for the 4 F 3 Type Orthogonal Polynomials and Related Exactly-Solvable Quantum Systems
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    Chapter 21 Spin Chain Models of Free Fermions
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    Chapter 22 Group Analysis of Generalized Fifth-Order Korteweg–de Vries Equations with Time-Dependent Coefficients
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    Chapter 23 A Construction of Generalized Lotka–Volterra Systems Connected with 𝔰 𝔩 n ( ℂ ) $$\mathfrak{s}\mathfrak{l}_{n}(\mathbb{C})$$
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    Chapter 24 Systems of First-Order Ordinary Differential Equations Invariant with Respect to Linear Realizations of Two- and Three-Dimensional Lie Algebras
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    Chapter 25 On Principal Finite W -Algebras for Certain Orthosymplectic Lie Superalgebras and F (4)
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    Chapter 26 Lie Theory and Its Applications in Physics
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    Chapter 27 Localizations of U q ( 𝔰 𝔩 ( 2 ) ) $$ U_{q}(\mathfrak{s}\mathfrak{l}(2))$$ and U q ( 𝔬 𝔰 𝔭 ( 1 | 2 ) ) $$ U_{q}(\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\vert 2))$$ Associated with Euclidean and Super Euclidean Algebras
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    Chapter 28 On the 2D Zero Modes’ Algebra of the SU(n) WZNW Model
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    Chapter 29 Breaking s o ( 4 ) $$so(4)$$ Symmetry Without Degeneracy Lift
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    Chapter 30 On the Relation Between an 𝒩 = 1 $$\mathcal{N} = 1$$ Supersymmetric Liouville Field Theory and a Pair of Non-SUSY Liouville Fields
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    Chapter 31 Multi-Point Virtual Structure Constants and Mirror Computation of CP 2 -Model
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    Chapter 32 N-Conformal Galilean Group as a Maximal Symmetry Group of Higher-Derivative Free Theory
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    Chapter 33 Virasoro Structures in the Twisted Vertex Algebra of the Particle Correspondence of Type C
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    Chapter 34 On the Correspondence Between Mirror-Twisted Sectors for N = 2 Supersymmetric Vertex Operator Superalgebras of the Form V ⊗ V and N = 1 Ramond Sectors of V
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    Chapter 35 Operadic Bridge Between Renormalization Theory and Vertex Algebras
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    Chapter 36 Superfields and Vertex Algebras in Four Dimensions
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    Chapter 37 Special Reduced Multiplets and Minimal Representations for SO(p,q)
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    Chapter 38 On the Structure of Green’s Ansatz
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    Chapter 39 Parafermionic Algebras, Their Modules and Cohomologies
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    Chapter 40 On Non-local Representations of the Ageing Algebra in d ≥ 1 Dimensions
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    Chapter 41 The Quantum Closet
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    Chapter 42 Shape-Invariant Orbits and Their Laplace-Runge-Lenz Vectors for a Class of “Double Potentials”
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    Chapter 43 Quantization on Co-adjoint Group Orbits and Second Class Constraints
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    Chapter 44 Some Kind of Stabilities and Instabilities of Energies of Maps Between Kähler Manifolds
Attention for Chapter 21: Spin Chain Models of Free Fermions
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Chapter title
Spin Chain Models of Free Fermions
Chapter number 21
Book title
Lie Theory and Its Applications in Physics
Published by
Springer, Tokyo, January 2014
DOI 10.1007/978-4-431-55285-7_21
Book ISBNs
978-4-43-155284-0, 978-4-43-155285-7
Authors

Č. Burdík, A. P. Isaev, S. O. Krivonos, O. Navrátil, Burdík, Č., Isaev, A. P., Krivonos, S. O., Navrátil, O.

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Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor 2 100%
Readers by discipline Count As %
Mathematics 1 50%
Physics and Astronomy 1 50%